Atkin-Lehner |
2+ 3- 29+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
38106b |
Isogeny class |
Conductor |
38106 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
70144 |
Modular degree for the optimal curve |
Δ |
1611197892 = 22 · 38 · 292 · 73 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 -4 -4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-11493,477121] |
[a1,a2,a3,a4,a6] |
Generators |
[-85:956:1] [46:5107:8] |
Generators of the group modulo torsion |
j |
230312579445073/2210148 |
j-invariant |
L |
5.0296619514856 |
L(r)(E,1)/r! |
Ω |
1.354833009244 |
Real period |
R |
0.92809628883559 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12702d1 |
Quadratic twists by: -3 |